tìm x
(5x-1)(5x+1)=25x2-7x+15
a, (4x+1)(x-3)-(x-7)(4x-1)=15
b, (x+1)(x2-x+1)-x(x2-3)=4
c, (x-3)(x2+3x+9)+x(5-x2)=6x
d, (5x-1)(5x+1)=25x2-7x+15
\(a,\left(4x+1\right)\left(x-3\right)-\left(x-7\right)\left(4x-1\right)=15\\ \Leftrightarrow4x^2+x-12x-3-\left(4x^2-28x-x+7\right)-15=0\\ \Leftrightarrow4x^2-11x-3-4x^2+29x-7-15=0\\ \Leftrightarrow18x=25\\ \Leftrightarrow x=\dfrac{25}{18}\)
Vậy \(x=\dfrac{25}{18}\)
\(b,\left(x+1\right)\left(x^2-x+1\right)-x\left(x^2-3\right)=4\\ \Leftrightarrow x^3+1-x^3+3x-4=0\\ \Leftrightarrow3x-3=0\\ \Leftrightarrow x=1\)
Vậy \(x=1\)
\(c,\left(x-3\right)\left(x^2+3x+9\right)+x\left(5-x^2\right)-6x=0\\ \Leftrightarrow x^3-27+5x-x^3-6x=0\\ \Leftrightarrow-x-27=0\\ \Leftrightarrow x=-27\)
Vậy \(x=-27\)
\(d,\left(5x-1\right)\left(5x+1\right)=25x^2-7x+15\\ \Leftrightarrow25x^2-1-25x^2+7x-15=0\\ \Leftrightarrow7x-16=0\\ \Leftrightarrow x=\dfrac{16}{7}\)
Vậy \(x=\dfrac{16}{7}\)
Bài 3: Tìm x
a) (2x+3)2−4x2=10
b) (x+1)2−(2+x)(x−2)=0
c) (5x−1)(1+5x)=25x2−7x+15
d) (4−x)2−16=0
e) 3x2−12x=0
g) x2−8x−3x+24=0
e: \(\Leftrightarrow3x\left(x-4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)
Tìm x:
1. ( 4x4 + 3x3 ) : ( -x3) + ( 15x2 + 6x ) : 3x = 0
2. ( 25x2 - 10x) : ( -5x) - 3( x-2) = 4
3. ( 42x3 - 12x ) : ( -6x) + 7x ( x+2) = 8
`1)<=> -4x-3 + 5x+ 2 =0`
`<=> 5x-4x = -2+3`
`<=> x =1`
`2)<=> -5x +2-3x+6 =4`
`<=> -5x-3x = 4-6-2`
`<=> -8x=-4`
`<=> x=1/2`
`3) <=> -7x^2 +2 +7x^2 +14x =8`
`<=> 14x +2 =8`
`<=> 14x = 6`
`<=> x=3/7`
Tìm x:
a) (x+2)(x2-2x+4)=35
b) (25x2+5x+1)(5x-1)=-9
a) Ta có: \(\left(x+2\right)\left(x^2-2x+4\right)=35\)
\(\Leftrightarrow x^3+8=35\)
\(\Leftrightarrow x^3=27\)
hay x=3
b) Ta có: \(\left(25x^2+5x+1\right)\left(5x-1\right)=-9\)
\(\Leftrightarrow125x^3-1=-9\)
\(\Leftrightarrow125x^3=-8\)
\(\Leftrightarrow x=-\dfrac{2}{5}\)
a,7x-5=16
b,156-2x=82
c,10x+65=125
d,8x+2x=25x22
e,15+5x=40
f,5x+2x=62-1
7x - 5 = 16
7x = 16 + 5
7x = 21 (Chia cả hai vế 7 để có được x)
7x/7 = 21/7
x = 3
a,7x-5=16
b,156-2x=82
c,10x+65=125
d,8x+2x=25x22
e,15+5x=40
f,5x+2x=62-1
a.7x-5=21
=>7x=21
=>x=21:1
=>x=3
b.156-2x=82
=>2x=156-82
=>2x=74
=>x=74:2
=>x=37
c.10x+65=125
=>10x=125-65
=>10x=60
=>x=60:10
=>x=6
d.8x+2x=25x2^2
=>10x=25x4
=>10x=100
=>x=100:10
=>x=10
e.15+5x=40
=>5x=40-15
=>5x=25
=>x=25:5
=>x=5
f.5x+2x=6^2-1
=>7x=36-1
=>7x=35
=>x=35:7
=>x=5
tick dung minh nha
Phương trình 2 2 x 2 - 5 x + 2 + 2 3 x 2 - 7 x + 2 = 1 + 2 5 x 2 - 12 x + 4 có bao nhiêu nghiệm?
A. 1
B. 2
C. 4
D. 3
Chọn D.
Đặt
Ta có a + b = 1 + ab
Có 3 nghiệm
5x mu 2 -7x+1=0 A= (x1-7/5)x1+1/25x2 mu 2 + x2 mu 2 Giup mk nhe
Lần sau bạn viết latex giúp mình nha, ghi vậy mình không biết biểu thức A cái nào trước sau.
Tìm x, biết
a. (5x-7)2-25x2=32
b.(x-3)2+(x+1)2-5=0
giúp mình nhé
\(a,\Leftrightarrow25x^2-70x+49-25x^2=32\\ \Leftrightarrow-70x=-17\Leftrightarrow x=\dfrac{17}{70}\\ b,\Leftrightarrow x^2-6x+9+x^2+2x+1-5=0\\ \Leftrightarrow2x^2-4x+5=0\\ \Leftrightarrow2\left(x^2-2x+1\right)+3=0\\ \Leftrightarrow2\left(x-1\right)^2=-3\Leftrightarrow\left(x-1\right)^2=-\dfrac{3}{2}\left(\text{vô lí}\right)\\ \Leftrightarrow x\in\varnothing\)
Bài 1: Làm tính nhân:
a) 2x. (x2 – 7x -3) b) ( -2x3 + y2 -7xy). 4xy2
c)(-5x3). (2x2+3x-5) d) (2x2 - xy+ y2).(-3x3)
e)(x2 -2x+3). (x-4) f) ( 2x3 -3x -1). (5x+2)
g) ( 25x2 + 10xy + 4y2). ( ( 5x – 2y) h) ( 5x3 – x2 + 2x – 3). ( 4x2 – x + 2)
a) \(2x\left(x^2-7x-3\right)=2x.x^2-2x.7x-2x.3=2x^3-14x^2-6x\)
b) \(\left(-2x^3+y^2-7xy\right)4xy^2=\left(-2x^3\right)4xy^2+y^24xy^2-7xy.4xy^2=-8x^4y^2+4xy^4-28x^2y^3\)
c) \(\left(-5x^3\right)\left(2x^2+3x-5\right)=-5x^32x^2-5x^33x-5x^3.-5=-10x^5-15x^4+25x^3\)
d) \(\left(2x^2-xy+y^2\right)\left(-3x^3\right)=-3x^32x^2-3x^3.-xy-3x^3y^2=-6x^5+3x^4y-3x^3y^2\)
e) \(\left(x^2-2x+3\right)\left(x-4\right)=x\left(x^2-2x+3\right)-4\left(x^2-2x+3\right)=x^3-2x^2+3x-4x^2+8x-12=x^3-6x^2+11x-12\)
f) \(\left(2x^3-3x-1\right)\left(5x+2\right)=5x\left(2x^3-3x-1\right)+2\left(2x^3-3x-1\right)=10x^4-15x^2-5x+4x^3-6x-2=10x^4+4x^3-15x^2-11x-2\)
g)
\(\left(25x^2+10xy+4y^2\right).\left((5x-2y\right)\)
\(=125x^3-50x^2y+20x^2y-20xy^2+20xy^2-8y^3\)
\(=125x^3-30x^2y+8y^3\)
h)
\(\left(5x^3-x^2+2x-3\right)\left(4x^2-x+2\right)\)
\(=20x^5-5x^4+10x^3-4x^4+x^3-2x^2+8x^3-2x^2+4x-12x^2+3x-6\)
\(=20x^5-9x^4+19x^3-16x^2+7x-6\)